Natural Log of 50

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What is ln 50?

Answer

ln 50 ≈
3.9120

ln is the natural log, base e ≈ 2.71828.

≈ — the logarithm is irrational; the value is rounded to 4 decimal places.

ln 50 is the power you raise e ≈ 2.71828 to, to get 50: ey = 50.

e³ ≈ 20.0855 < 50 < e⁴ ≈ 54.5982, so 3 < ln 50 < 4

Oxy

Answer point ≈ (50, 3.9120).

The curve y = ln x passes through (1, 0) and (e, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 50 in different bases
BaseNotationValue
eln 50≈ 3.9120
10log 50≈ 1.6990
2log₂ 50≈ 5.6439

See Also

FAQ

What is ln 50?

ln 50 ≈ 3.9120

What is the difference between ln 50 and log 50?

ln 50 is the logarithm to base e, log 50 is to base 10: ln 50 ≈ 3.9120, log 50 ≈ 1.6990. One is the other divided by ln 10: log 50 = ln 50 / ln 10 ≈ 1.6990.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.